Orbit Fit and Astrometric record for 13RS109

The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.

# Object: 13RS109   
# Created Fri Mar 29 01:15:23 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting     40 observations of     40
# Arc:  16.84y
# First observation: 2004/11/10
#  Last observation: 2021/09/12
# Chi-squared of fit:    15.08 DOF:     74 RMS:  0.11
# Min/Max residuals:    -0.26    0.30
# Exact a, adot, b, bdot, g, gdot:
  1.584281E-05  2.542222E-02  8.253922E-08  2.126365E-03  2.484452E-02  1.440540E-03
# Covariance matrix:
  7.0243E-13 -1.1292E-13  2.8042E-14 -6.9018E-15 -6.5403E-14 -1.6766E-13
 -1.1292E-13  2.3196E-14 -6.7631E-15  1.6624E-15  3.3384E-15  4.0165E-14
  2.8042E-14 -6.7631E-15  3.5460E-13 -3.0369E-14 -3.3073E-15 -1.3487E-14
 -6.9018E-15  1.6624E-15 -3.0369E-14  2.9347E-15  8.5252E-16  3.3183E-15
 -6.5403E-14  3.3384E-15 -3.3073E-15  8.5252E-16  2.3502E-13  2.4700E-14
 -1.6766E-13  4.0165E-14 -1.3487E-14  3.3183E-15  2.4700E-14  8.0491E-14
#      lat0       lon0       xBary       yBary       zBary        JD0
   -0.662946  -15.505438   -0.887342   -0.005056   -0.444787  2453319.707763
# Heliocentric elements and errors
Epoch:              2453320.5000  =  2004/11/11
Mean Anomaly:           38.14341 +/-     0.018
Argument of Peri:      304.92354 +/-     0.022
Long of Asc Node:      353.47701 +/-     0.000
Inclination:             4.86084 +/-     0.000
Eccentricity:         0.11550152 +/-    0.0000
Semi-Major Axis:     44.48095855 +/-    0.0040
Time of Perihelion: 2441839.5824 +/-       5.5
Perihelion:          39.34334009 +/-    0.0041
Aphelion:            49.61857702 +/-    0.0049
Period (y)              296.6671 +/-      0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X           39.44457915 +/-    0.0008
Ecliptic Y          -10.02196971 +/-    0.0002
Ecliptic Z           -0.46569817 +/-    0.0000
Ecliptic XDOT         0.00090334 +/-    0.0000
Ecliptic YDOT         0.00264921 +/-    0.0000
Ecliptic ZDOT         0.00023256 +/-    0.0000
# Distances at JD0 (AU)
Heliocenter to KBO   40.70045967 +/-    0.0007
Geocenter to KBO     40.25032820 +/-    0.0008
# Hcoef:  6.95

The following table shows the complete astrometric record for 13RS109. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (13RS109) followed by the observatory code and reference code for the source of the astrometry.

2004 11  10.20702  23 03 54.44   -06 42 57.2   22.5R 13RS109   695  C~3cl8      
2004 11  11.17677  23 03 52.97   -06 43 04.3         13RS109   695  C~3cl8      
2013 09  02.262130 23 54 21.32   -00 10 08.9   23.6g 13RS109   W84  C~39od      
2013 09  02.26266  23 54 21.313  -00 10 09.28  24.0g 13RS109   W84  C~4yQq      
2013 09  08.18154  23 53 55.795  -00 12 46.59  23.4g 13RS109   W84  C~4yQq      
2013 09  08.18154  23 53 55.79   -00 12 46.6   23.5g 13RS109   W84  C~3cl8      
2013 09  11.29710  23 53 42.055  -00 14 11.26  23.4g 13RS109   W84  C~4yQq      
2013 09  11.29710  23 53 42.06   -00 14 11.3   23.4g 13RS109   W84  C~3cl8      
2013 10  13.07413  23 51 21.766  -00 28 44.68  22.5z 13RS109   W84  C~4yQq      
2013 10  13.07413  23 51 21.77   -00 28 44.7   22.8z 13RS109   W84  C~3cl8      
2013 10  13.08744  23 51 21.698  -00 28 44.88  23.0i 13RS109   W84  C~4yQq      
2013 10  13.08744  23 51 21.70   -00 28 44.9   23.2i 13RS109   W84  C~3cl8      
2013 10  28.05807  23 50 25.031  -00 34 39.26  23.3r 13RS109   W84  C~4yQq      
2013 10  28.05807  23 50 25.03   -00 34 39.3   23.3r 13RS109   W84  C~3cl8      
2013 10  28.05946  23 50 25.027  -00 34 39.34  22.8i 13RS109   W84  C~4yQq      
2013 10  28.05946  23 50 25.03   -00 34 39.4   22.9i 13RS109   W84  C~3cl8      
2013 11  08.13508  23 49 51.141  -00 38 10.53  23.4r 13RS109   W84  C~4yQq      
2013 11  08.13508  23 49 51.14   -00 38 10.5   23.7r 13RS109   W84  C~3cl8      
2013 11  08.13647  23 49 51.142  -00 38 10.50  22.2i 13RS109   W84  C~4yQq      
2013 11  08.13647  23 49 51.15   -00 38 10.5   22.4i 13RS109   W84  C~3cl8      
2013 11  08.13929  23 49 51.126  -00 38 10.52  22.5z 13RS109   W84  C~4yQq      
2014 10  21.20581  23 55 49.734  +00 08 12.78  22.6r 13RS109   W84  C~4yQq      
2014 10  21.20581  23 55 49.73   +00 08 12.8   22.7r 13RS109   W84  C~3cl8      
2016 09  22.11486  00 07 47.465  +01 40 55.96  23.2r 13RS109   W84  C~4yQq      
2016 09  22.11486  00 07 47.47   +01 40 56.0   23.3r 13RS109   W84  C~3cl8      
2016 09  22.11623  00 07 47.439  +01 40 55.84  23.2g 13RS109   W84  C~4yQq      
2016 09  22.11623  00 07 47.44   +01 40 55.8   23.7g 13RS109   W84  C~3cl8      
2016 12  05.07259  00 03 47.812  +01 15 40.45  22.6z 13RS109   W84  C~4yQq      
2016 12  05.07259  00 03 47.81   +01 15 40.4   22.8z 13RS109   W84  C~3cl8      
2017 09  27.18691  00 12 21.389  +02 18 17.82  23.0r 13RS109   W84  C~4yQq      
2017 09  27.18828  00 12 21.383  +02 18 17.79  23.0i 13RS109   W84  C~4yQq      
2017 09  27.18965  00 12 21.381  +02 18 17.84  23.2g 13RS109   W84  C~4yQq      
2017 10  11.20422  00 11 19.312  +02 11 49.73  22.5z 13RS109   W84  C~4yQq      
2018 09  21.27767  00 17 43.632  +03 00 30.72  22.5z 13RS109   W84  C~4yQq      
2019 11  01.38806  00 19 44.03   +03 21 30.4   24.3g 13RS109   T09  C~7bI7      
2019 11  01.47820  00 19 43.70   +03 21 28.3   25.0g 13RS109   T09  C~7bI7      
2019 11  01.48657  00 19 43.66   +03 21 28.2   24.5g 13RS109   T09  C~7bI7      
2021 09  12.332640 00 33 00.347  +05 00 46.07  22.9G 13RS109   G37  C~55NZ      
2021 09  12.392900 00 33 00.087  +05 00 44.59        13RS109   G37  C~55NZ      
2021 09  12.453500 00 32 59.827  +05 00 43.09        13RS109   G37  C~55NZ      

The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.

     1   0.0000      0.00    -0.04       0.00     0.27
     2   0.0027      0.00    -0.10       0.00     0.08
     3   8.8106      0.00     0.15       0.00     0.22
     4   8.8106      0.00     0.08       0.00    -0.15
     5   8.8268      0.00    -0.08       0.00    -0.26
     6   8.8268      0.00    -0.00       0.00    -0.25
     7   8.8353      0.00     0.23       0.00     0.02
     8   8.8353      0.00     0.30       0.00    -0.02
     9   8.9223      0.00     0.10       0.00    -0.08
    10   8.9223      0.00     0.04       0.00    -0.06
    11   8.9223      0.00    -0.11       0.00     0.06
    12   8.9223      0.00    -0.14       0.00     0.08
    13   8.9633      0.00    -0.05       0.00    -0.07
    14   8.9633      0.00    -0.04       0.00    -0.03
    15   8.9633      0.00    -0.03       0.00    -0.08
    16   8.9633      0.00     0.02       0.00    -0.14
    17   8.9936      0.00    -0.04       0.00    -0.02
    18   8.9936      0.00    -0.02       0.00    -0.05
    19   8.9936      0.00     0.17       0.00     0.00
    20   8.9936      0.00     0.05       0.00     0.00
    21   8.9937      0.00    -0.08       0.00     0.03
    22   9.9439      0.00    -0.10       0.00    -0.01
    23   9.9439      0.00    -0.04       0.00    -0.03
    24  11.8656      0.00     0.19       0.00     0.06
    25  11.8656      0.00     0.12       0.00     0.02
    26  11.8656      0.00    -0.17       0.00    -0.11
    27  11.8656      0.00    -0.18       0.00    -0.07
    28  12.0681      0.00    -0.03       0.00    -0.02
    29  12.0681      0.00    -0.00       0.00     0.03
    30  12.8788      0.00    -0.04       0.00    -0.03
    31  12.8788      0.00    -0.04       0.00    -0.02
    32  12.8788      0.00     0.02       0.00     0.07
    33  12.9172      0.00     0.04       0.00     0.16
    34  13.8619      0.00    -0.09       0.00     0.11
    35  14.9738      0.00     0.14       0.00     0.08
    36  14.9740      0.00     0.16       0.00     0.06
    37  14.9741      0.00     0.02       0.00     0.16
    38  16.8381      0.00    -0.04       0.00    -0.00
    39  16.8383      0.00    -0.11       0.00     0.02
    40  16.8385      0.00    -0.15       0.00     0.02

The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.

13RS109    quality flag:3

Type:      CLASSICAL CLASSICAL CLASSICAL

axisobj        44.949    44.949    44.948
ecceobj         0.121     0.121     0.121
incobj          4.837     4.837     4.837
qmin           38.823    38.823    38.836
qmax           50.937    50.929    50.960
amean          44.743    44.743    44.743
amin           44.383    44.372    44.379
amax           45.142    45.152    45.151
emean           0.115     0.115     0.115
emin            0.100     0.100     0.100
emax            0.129     0.128     0.129
imean           5.351     5.351     5.351
imin            4.666     4.665     4.665
imax            5.942     5.940     5.948
excite_mean     0.148     0.148     0.148
fracstop        1.000     1.000     1.000
cjmean          3.084     3.084     3.084

libcent 0      -180.0    -180.0    -180.0
libamp  0      -180.0    -180.0    -180.0
libcent 1      -180.0    -180.0    -180.0
libamp  1      -180.0    -180.0    -180.0
libcent 2      -180.0    -180.0    -180.0
libamp  2      -180.0    -180.0    -180.0
libcent 3      -180.0    -180.0    -180.0
libamp  3      -180.0    -180.0    -180.0
libcent 4      -180.0    -180.0    -180.0
libamp  4      -180.0    -180.0    -180.0

kozaimean       181.5     181.6     181.5
kozaiamp        180.0     180.0     179.9